Pith Number

pith:TDM7DL52

pith:2006:TDM7DL52DV32W4H63GLAD5CMJ2

not attested not anchored not stored refs pending

Decent intersection and Tor-rigidity for modules over local hypersurfaces

Hailong Dao

arxiv:math/0611568 v4 · 2006-11-19 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDM7DL52DV32W4H63GLAD5CMJ2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:27:58.417624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d9f1afba1d77ab70fed99601f44c4ea517970d0c17c364ce4068bb0e7f44bb

Aliases

arxiv: math/0611568 · arxiv_version: math/0611568v4 · doi: 10.48550/arxiv.math/0611568 · pith_short_12: TDM7DL52DV32 · pith_short_16: TDM7DL52DV32W4H6 · pith_short_8: TDM7DL52

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TDM7DL52DV32W4H63GLAD5CMJ2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 98d9f1afba1d77ab70fed99601f44c4ea517970d0c17c364ce4068bb0e7f44bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6614e78c5e2d7e02f32bb597c24edb027e857b350dd63d9940102334068e527b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2006-11-19T08:00:17Z",
    "title_canon_sha256": "971035329d53755748d7b16199fb7e46303cc0f2d3f7d0ce7c96f0270bb70638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611568",
    "kind": "arxiv",
    "version": 4
  }
}